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2 years ago

Write the quadratic equation in standard form. (x - 3) 2 = 0

Mathematics

2 answers:

Pani-rosa [81]2 years ago

8 0

2 x -6 equals 0. add 6 to both sides. divide both sides by two. x equals 3

wolverine [178]2 years ago

7 0

2 x -6 equals 0 then add 6 to both sides then divide 2 by both sides then x=2

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Element X is a radioactive isotope such that every 90 years, its mass decreases by half. Given that the initial mass of a sample

steposvetlana [31]

Answer:

approximately 27 grams

Work Shown:

Half life formula

y = A*(0.5)^(x/H)

where,

A = starting amount = 30 grams

H = half life period = 90 years

x = number of years that pass by = 12

y = amount left over after x years

Let's plug the values for x, A and H into the formula to find y

y = A*(0.5)^(x/H)

y = 30*(0.5)^(12/90)

y = 27.3516746567466

y = 27 .... rounding to the nearest whole number

4 0

2 years ago

63-28=subtracting by adding up

Tresset [83]

Answer:

Step-by-step explanation:

7 0

3 years ago

Use substitution to solve the system. 2x-5(3x-7)=22

givi [52]

I hope it’s helpful. y = 2x + 5 x = 1

8 0

2 years ago

Read 2 more answers

Assume that we want to estimate the mean IQ score for the population of statistics professors. How many statistics professors mu

Kisachek [45]

Answer:

You should select at least 216 statistics professors.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.025 = 0.975$ , so $z = 1.96$

Now, find M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

In this problem, we have that:

$M = 2, \sigma = 15$

$M = z*\frac{\sigma}{\sqrt{n}}$

$2 = 1.96*\frac{15}{\sqrt{n}}$

$2\sqrt{n} = 29.4$

$\sqrt{n} = 14.7$

$\sqrt{n}^{2} = (14.7)^{2}$

$n = 216$

You should select at least 216 statistics teachers.

8 0

3 years ago

Miguel’s bank is offering savings accounts with 4% interest compounded continuously, If Miguel invests $500 how much will he hav

Triss [41]

Answer:

After 2 years Miguel will have in his account $541.64

Step-by-step explanation:

The formula for calculating compound interest continuously is:

$A=pe^{rt}$

Where A is the amount of money obtained after t years.

r is the compound interest rate and p is the initial amount

In this case we have that:

$p=\$500\\\\t=2\ years\\\\r=0.04$

Then we must find the final amount A

$A=500e^{0.04(2)}$

$A=\$541.64$

8 0

2 years ago